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Finding the Third Proportional to 713,016 and 1,548,984

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Solution

The third proportional to 713,016 and 1,548,984 is: 3,365,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,016 : 1,548,984 = 1,548,984 : x
  2. Step 2: Convert to fraction form
    713,016/1,548,984 = 1,548,984/x
  3. Step 3: Cross multiply
    713,016x = 1,548,984 × 1,548,984
  4. Step 4: Simplify right side
    713,016x = 2,399,351,432,256
  5. Step 5: Solve for x
    x = 2,399,351,432,256/713,016
  6. Step 6: Final answer
    x = 3,365,073.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.